VIBRATIONAL PROPERTIES OF BOND-DILUTED TRIANGULAR LATTICES

被引:5
作者
BOTTGER, H
FREYBERG, A
WEGENER, D
机构
[1] Sektion Physik der Technischen Universität Magdeburg, Magdeburg, DDR-3010, Postschließfach 124, Germany (Democratic Republic
来源
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1990年 / 79卷 / 03期
关键词
D O I
10.1007/BF01437652
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Vibrational properties of two-dimensional (2D) triangular elastic bond percolation systems with scalar, central, and bond-bending forces are studied by using the HCPA, the recursion method and the replica trick. The densities of states calculated by means of the HCPA agree qualtatively well with corresponding results of the recursion method. The low-frequency behaviour of the density of states can be interpreted in terms of a phonon-fracton crossover. The dynamic structure factor calculated with the aid of the HCPA for the scalar model exhibits for any wave vector only a single peak, contrary to threedimensional systems. © 1990 Springer-Verlag.
引用
收藏
页码:415 / 422
页数:8
相关论文
共 46 条
[1]  
Abramowitz M., 1984, POCKETBOOK MATH FUNC
[2]   SCATTERING OF FRACTONS, THE IOFFE-REGEL CRITERION, AND THE 4/3 CONJECTURE [J].
AHARONY, A ;
ALEXANDER, S ;
ENTINWOHLMAN, O ;
ORBACH, R .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :132-135
[3]  
AHARONY A, 1985, PHYS REV B, V31, P2665
[4]   FRACTONS [J].
ALEXANDER, S .
PHYSICA A, 1986, 140 (1-2) :397-404
[5]  
ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
[6]   PHONON-FRACTON ANHARMONIC INTERACTIONS - THE THERMAL-CONDUCTIVITY OF AMORPHOUS MATERIALS [J].
ALEXANDER, S ;
ENTINWOHLMAN, O ;
ORBACH, R .
PHYSICAL REVIEW B, 1986, 34 (04) :2726-2734
[7]   ABSENCE OF UNIVERSALITY IN PERCOLATION MODELS OF DISORDERED ELASTIC MEDIA WITH CENTRAL FORCES [J].
ARBABI, S ;
SAHIMI, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (17) :L863-L868
[8]   PHONON LOCALIZATION IN DISORDERED-SYSTEMS - APPLICATION OF THE POTENTIAL-WELL ANALOGY METHOD [J].
BOTTGER, H ;
THEUERKAUF, M .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1988, 150 (01) :73-83
[9]  
Bottger H., 1983, PRINCIPLES THEORY LA
[10]  
BOTTGER H, UNPUB PHYS STATUS SO